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• Parser

Parse-affine-group-literal

Parse an affine-group-literal.

Signature

(parse-affine-group-literal token input) 
  → 
(mv tree next-token rest-input)

Arguments

token — Guard (abnf::tree-optionp token).

input — Guard (abnf::tree-listp input).

Returns

tree — Type (abnf::tree-resultp tree).

next-token — Type (abnf::tree-optionp next-token).

rest-input — Type (abnf::tree-listp rest-input).

Definitions and Theorems

Function: parse-affine-group-literal

(defun parse-affine-group-literal (token input)
 (declare (xargs :guard (and (abnf::tree-optionp token)
                             (abnf::tree-listp input))))
 (let ((__function__ 'parse-affine-group-literal))
  (declare (ignorable __function__))
  (b* (((pok tree1)
        (parse-symbol "(" token input))
       ((pok tree2)
        (parse-group-coordinate token input))
       ((pok tree3)
        (parse-symbol "," token input))
       ((pok tree4)
        (parse-group-coordinate token input))
       ((pok tree5)
        (parse-symbol ")group" token input))
       (tree (abnf::make-tree-nonleaf
                  :rulename? (abnf::rulename "affine-group-literal")
                  :branches (list (list tree1)
                                  (list tree2)
                                  (list tree3)
                                  (list tree4)
                                  (list tree5)))))
    (mv tree token input))))

Theorem: tree-resultp-of-parse-affine-group-literal.tree

(defthm tree-resultp-of-parse-affine-group-literal.tree
  (b* (((mv ?tree ?next-token ?rest-input)
        (parse-affine-group-literal token input)))
    (abnf::tree-resultp tree))
  :rule-classes :rewrite)

Theorem: tree-optionp-of-parse-affine-group-literal.next-token

(defthm tree-optionp-of-parse-affine-group-literal.next-token
  (b* (((mv ?tree ?next-token ?rest-input)
        (parse-affine-group-literal token input)))
    (abnf::tree-optionp next-token))
  :rule-classes :rewrite)

Theorem: tree-listp-of-parse-affine-group-literal.rest-input

(defthm tree-listp-of-parse-affine-group-literal.rest-input
  (b* (((mv ?tree ?next-token ?rest-input)
        (parse-affine-group-literal token input)))
    (abnf::tree-listp rest-input))
  :rule-classes :rewrite)

Theorem: parsize-of-parse-affine-group-literal-<=

(defthm parsize-of-parse-affine-group-literal-<=
  (b* (((mv ?tree ?next-token ?rest-input)
        (parse-affine-group-literal token input)))
    (<= (parsize next-token rest-input)
        (parsize token input)))
  :rule-classes :linear)

Theorem: parsize-of-parse-affine-group-literal-<

(defthm parsize-of-parse-affine-group-literal-<
  (b* (((mv ?tree ?next-token ?rest-input)
        (parse-affine-group-literal token input)))
    (implies (not (reserrp tree))
             (< (parsize next-token rest-input)
                (parsize token input))))
  :rule-classes :linear)

Theorem: parse-affine-group-literal-of-tree-option-fix-token

(defthm parse-affine-group-literal-of-tree-option-fix-token
  (equal (parse-affine-group-literal (abnf::tree-option-fix token)
                                     input)
         (parse-affine-group-literal token input)))

Theorem: parse-affine-group-literal-tree-option-equiv-congruence-on-token

(defthm
   parse-affine-group-literal-tree-option-equiv-congruence-on-token
  (implies (abnf::tree-option-equiv token token-equiv)
           (equal (parse-affine-group-literal token input)
                  (parse-affine-group-literal token-equiv input)))
  :rule-classes :congruence)

Theorem: parse-affine-group-literal-of-tree-list-fix-input

(defthm parse-affine-group-literal-of-tree-list-fix-input
 (equal
      (parse-affine-group-literal token (abnf::tree-list-fix input))
      (parse-affine-group-literal token input)))

Theorem: parse-affine-group-literal-tree-list-equiv-congruence-on-input

(defthm
     parse-affine-group-literal-tree-list-equiv-congruence-on-input
  (implies (abnf::tree-list-equiv input input-equiv)
           (equal (parse-affine-group-literal token input)
                  (parse-affine-group-literal token input-equiv)))
  :rule-classes :congruence)